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Finding the Third Proportional to 3,238.85 and 5,156.22

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Solution

The third proportional to 3,238.85 and 5,156.22 is: 8,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.85 : 5,156.22 = 5,156.22 : x
  2. Step 2: Convert to fraction form
    3,238.85/5,156.22 = 5,156.22/x
  3. Step 3: Cross multiply
    3,238.85x = 5,156.22 × 5,156.22
  4. Step 4: Simplify right side
    3,238.85x = 26,586,559.07
  5. Step 5: Solve for x
    x = 26,586,559.07/3,238.85
  6. Step 6: Final answer
    x = 8,208.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.